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Finding the Fourth Proportional to 21,087.72, 31,620.96 and 7,042.86

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Solution

The fourth proportional to 21,087.72, 31,620.96 and 7,042.86 is: 10,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,087.72 : 31,620.96 = 7,042.86 : x
  2. Step 2: Convert to fraction form
    21,087.72/31,620.96 = 7,042.86/x
  3. Step 3: Cross multiply
    21,087.72x = 31,620.96 × 7,042.86
  4. Step 4: Simplify right side
    21,087.72x = 222,701,994.35
  5. Step 5: Solve for x
    x = 222,701,994.35/21,087.72
  6. Step 6: Final answer
    x = 10,560.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.